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3 years ago

Answer 1 and 2 for brainliest

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Roll a 6 and head or roll a 6 and a tails

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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

4 years ago

Emily had 75 buttons. She gave 15 buttons to jake. What percentage of the buttons did Emily give to hair?

olga55 [171]

Emily gave Jake 20% of the buttons. 20% = 15 buttons, and 15 x 5 = 75

8 0

3 years ago

What dimension is a single point?

mestny [16]

A point has D) zero dimensions

4 0

3 years ago

Please answer this question, will give brainliest!

Ad libitum [116K]

Answer:

I dont really know the answer.. but ill try; if its wrong I am so sorry;

Step-by-step explanation:

First you must get the area of a circle, which is; A= pi r squared

and all you have to do is fill it in like this;

A= 3.14 x 2.0

A= 6.28

5 0

3 years ago

Joanna runs at an average speed of 7.5km/h. She runs 15km every day. What time did

yan [13]

Avg. speed Joanna runs: 7.5km/h
how much she runs everyday: 15km

15km/7.5= 2 hours of running time everyday

She leaves at 8:30, comes back at ?
8:30+ 2:00= 10:30

Joanna arrives back at 10:30a.m.

8 0

3 years ago

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